Ordinal indices and Ramsey dichotomies measuring \(c_0\)-content and semibounded completeness (Q2773382)
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scientific article; zbMATH DE number 1709973
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ordinal indices and Ramsey dichotomies measuring \(c_0\)-content and semibounded completeness |
scientific article; zbMATH DE number 1709973 |
Statements
21 February 2002
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Ramsey-type principle
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Schreier system
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\(c_0\)-index
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semi-bounded completeness index
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seminormalized basic sequence
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Ordinal indices and Ramsey dichotomies measuring \(c_0\)-content and semibounded completeness (English)
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The author applies the Ramsey-type principle and the Pták-type theorem for each countable ordinal to studying relationship between the \(c_0\)-index and the semibounded completeness index of an arbitrary seminormalized basic sequence in a Banach space.
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